Information on Result #522740
There is no (27, 122, 138)-net in base 5, because extracting embedded orthogonal array would yield OA(5122, 138, S5, 95), but
- the linear programming bound shows that M ≥ 4298 350104 752369 269413 501600 679384 146953 677458 490777 611613 102571 208600 011232 192628 085613 250732 421875 / 221 979963 162672 > 5122 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (27, 123, 138)-net in base 5 | [i] | m-Reduction | |
| 2 | No (27, 124, 138)-net in base 5 | [i] | ||
| 3 | No (27, 125, 138)-net in base 5 | [i] | ||
| 4 | No (27, 126, 138)-net in base 5 | [i] | ||
| 5 | No (27, 127, 138)-net in base 5 | [i] | ||
| 6 | No (27, 128, 138)-net in base 5 | [i] | ||
| 7 | No (27, 129, 138)-net in base 5 | [i] | ||
| 8 | No (27, 130, 138)-net in base 5 | [i] | ||
| 9 | No (27, 131, 138)-net in base 5 | [i] | ||
| 10 | No (27, 132, 138)-net in base 5 | [i] | ||
| 11 | No (27, 133, 138)-net in base 5 | [i] | ||
| 12 | No (27, 134, 138)-net in base 5 | [i] | ||
| 13 | No (27, 135, 138)-net in base 5 | [i] | ||
| 14 | No (27, 136, 138)-net in base 5 | [i] | ||
| 15 | No (27, 137, 138)-net in base 5 | [i] | ||
| 16 | No (27, 138, 138)-net in base 5 | [i] | ||
| 17 | No (27, 139, 138)-net in base 5 | [i] | ||
| 18 | No (27, 140, 138)-net in base 5 | [i] | ||
| 19 | No (27, 141, 138)-net in base 5 | [i] | ||
| 20 | No (27, 142, 138)-net in base 5 | [i] | ||
| 21 | No (27, 143, 138)-net in base 5 | [i] | ||
| 22 | No (27, 144, 138)-net in base 5 | [i] | ||
| 23 | No (27, 145, 138)-net in base 5 | [i] | ||
| 24 | No (27, 146, 138)-net in base 5 | [i] | ||
| 25 | No (27, 147, 138)-net in base 5 | [i] | ||
| 26 | No (27, 148, 138)-net in base 5 | [i] | ||
| 27 | No (27, 149, 138)-net in base 5 | [i] | ||
| 28 | No (27, 150, 138)-net in base 5 | [i] | ||